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Finding the Fourth Proportional to 403,513.80, 605,562.30 and 225,832.20

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Solution

The fourth proportional to 403,513.80, 605,562.30 and 225,832.20 is: 338,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,513.80 : 605,562.30 = 225,832.20 : x
  2. Step 2: Convert to fraction form
    403,513.80/605,562.30 = 225,832.20/x
  3. Step 3: Cross multiply
    403,513.80x = 605,562.30 × 225,832.20
  4. Step 4: Simplify right side
    403,513.80x = 136,755,466,446.06
  5. Step 5: Solve for x
    x = 136,755,466,446.06/403,513.80
  6. Step 6: Final answer
    x = 338,911.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.